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Trajectory Learning Using HMM: Towards Surgical Robotics Implementation.

Juliana Manrique-Cordoba1, Carlos Martorell-Llobregat2, Miguel Ángel de la Casa-Lillo1

  • 1Bioengineering Institute, Miguel Hernandez University of Elche, 03202 Elche, Spain.

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|September 19, 2025
PubMed
Summary
This summary is machine-generated.

This study enhances surgical robotics autonomy using Learning from Demonstration (LfD). Incorporating force data into trajectory learning significantly improves accuracy for robotic surgery applications.

Keywords:
hidden markov modelslearning from demonstrationrobotic trajectory learningsurgical roboticstrajectory simplification

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Area of Science:

  • Robotics
  • Surgical Technology
  • Machine Learning

Background:

  • Surgical robotics autonomy is advancing rapidly.
  • Learning from Demonstration (LfD) is crucial for developing autonomous surgical systems.
  • Current LfD methods require enhanced trajectory representation.

Purpose of the Study:

  • To improve trajectory generalization in high-dimensional spaces for surgical robotics.
  • To develop a more comprehensive representation of demonstrated trajectories using multidimensional data.
  • To enhance the codification and interpretation of information for LfD in surgical applications.

Main Methods:

  • Extended the Douglas-Peucker algorithm to include kinematic and dynamic trajectory data.
  • Collected and preprocessed motion and force interaction data.
  • Trained a hidden Markov model (HMM) comparing motion-only versus motion-and-force data.

Main Results:

  • Including force interaction data improved trajectory reconstruction accuracy.
  • Achieved a lower root mean squared error (RMSE) of 0.29 mm with force data, versus 0.44 mm without.
  • Demonstrated enhanced generalization in high-dimensional spaces.

Conclusions:

  • The proposed method effectively encodes, simplifies, and learns robotic trajectories.
  • Incorporating multidimensional trajectory data, including forces, is beneficial for LfD in surgical robotics.
  • This approach advances the development of autonomous surgical systems.